Dependency and Scope

0.1 What this paper does

This paper derives the structural form of the baryon asymmetry of the universe from the core axiom. It does not derive the numerical value. It derives the form.

The universe contains approximately one excess baryon for every billion photons. This ratio, η ≈ 6 × 10⁻¹⁰, is one of the most precisely measured numbers in cosmology.

The standard account requires baryogenesis — a process during the early universe that generated a slight excess of matter over antimatter, satisfying the Sakharov conditions.

The axioms offer a different account: the asymmetry is not generated by a process. It is structural. It is the axiom itself.

The core axiom is 1:1 + 1×ε @ AS. The 1:1 is the symmetric component. The ε is the break.

This paper shows that when the axiom is read as an energy partition, the baryon asymmetry ratio follows directly: η = E(ε) / (1 + E(ε)), where E(ε) is the dimensionless energy of the break.

The form is derived. The value of E(ε) is a formal debt.

0.2 Dependencies

The dependency chain: Axiom S (Symmetry — distinction) → Axiom B (Break — single break) → core axiom (1:1 + 1×ε @ AS) → AP06 (leakage constant, ε > 0) → AP18/AP21 (Energy–Measure Bridge, μ → E) → AP22 (the ledger: σ-asymmetry, topological protection of the surplus) → AP24 (the residual: all constants as projections of ε) → AP25 (the measure: Born rule, normalisation) → this paper (energy normalisation → partition → baryon asymmetry form).

0.3 Axiom mapping

Axiom S supplies the distinction (the symmetric 1:1). Axiom B supplies the single break ε — the asymmetric remainder with no σ-image. The core axiom 1:1 + 1×ε @ AS, read as an energy partition, is the whole content: the 1:1 normalises to one (AP25), the surplus is E(ε), and the asymmetry is their ratio.

0.4 Epistemic status per section

Epistemic status per section. §1 (The Problem): historical. §2 (The Axiom as Energy Partition): derived — Lemma 1 grounds the partition in AP25’s measure theory and the Energy–Measure Bridge. §3 (The Form): derived — Proposition 1. §4 (Why the Surplus Survives): derived — Proposition 2, topological protection via AP22. §5 (Connection to the Leakage Constant): structural — the leakage constant is the break’s coupling face (≈ 1/137); the energy face E(ε) that sets η is numerically distinct, and its value is owed (KS-60). §6 (The Formal Debt): debt. §7 (The Deeper Point): synthesis — non-load-bearing.

0.5 Kill switch summary

Three kill switches engage on this paper. KS-58 (surplus form) and KS-59 (topological protection) are LIVE — EMPIRICAL; the form is structurally secure, and proton decay has not been observed. KS-60 (derived-value mismatch) is LIVE — DEBT: when E(ε) is eventually derived from the self-consistency conditions, it must match the observed η, or the energy partition and AP24’s programme both fail. KS-60 is the sharpest blade in the 420 Code.

0.6 Structural debts owed

The numerical value of E(ε), and with it the value of η, is owed — tracked across the body of work as KS-60. The energy-to-number coefficient g_eff (whether the mapping is direct, g_eff = 1, or carries a thermodynamic correction) is a precision question internal to that same debt: it is part of what KS-60 must settle, not a separate debt. The structural form, the topological protection, and the connection to the leakage constant are all derived results, not debts.

0.7 Items held open without claiming debt status

Whether E(ε) is best obtained by direct computation of the Standard Model spectrum (Path 1) or by the fixed-point method of AP24 (Path 2) is held open; both routes are sketched in §6.2.

0.8 Structural relationships

AP26 depends on AP22 (The Ledger) for the topological protection of the surplus: AP22 gives the mechanism (the antimatter is segregated behind horizons), AP26 gives the form (the surplus is ε, η = E(ε)). The two are complementary and reconcile across the horizon — the surplus on our side is matched by an equal and opposite surplus on the other, total exactly zero. That cross-horizon balance is settled only to the extent AP22’s KS-47 survives: KS-47 holds LIVE — EMPIRICAL the question of whether the mass behind all horizons can account for the segregated antimatter, and AP26 inherits that tension rather than closing it. AP26 also depends on AP24, which locks E(ε) to α, m_e, and G; this is why E(ε) is not a free parameter, and why KS-60 is simultaneously a test of this paper and of AP24.